If $n \geq 100$ and the coefficient of $x^{100}$ in $1+(1+x)+(1+x)^2+\cdots+(1+x)^n$ is ${ }^{201} C_{101}$, then $n=$

• A

  100
• Correct answer
  B

  200
• C

  101
• D

  190

Hence, the correct answer is option: 'B'.